1568640 has 128 divisors (see below), whose sum is σ = 5385600. Its totient is φ = 387072.

The previous prime is 1568629. The next prime is 1568657. The reversal of 1568640 is 468651.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1568598 and 1568607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36459 + ... + 36501.

It is an arithmetic number, because the mean of its divisors is an integer number (42075).

2^1568640 is an apocalyptic number.

1568640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692800).

1568640 is an abundant number, since it is smaller than the sum of its proper divisors (3816960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1568640 is a wasteful number, since it uses less digits than its factorization.

1568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1568640 is about 1252.4535919546. The cubic root of 1568640 is about 116.1915187409.

The spelling of 1568640 in words is "one million, five hundred sixty-eight thousand, six hundred forty".